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Finding the Fourth Proportional to 565,398.50, 780,228.50 and 323,703.54

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Solution

The fourth proportional to 565,398.50, 780,228.50 and 323,703.54 is: 446,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,398.50 : 780,228.50 = 323,703.54 : x
  2. Step 2: Convert to fraction form
    565,398.50/780,228.50 = 323,703.54/x
  3. Step 3: Cross multiply
    565,398.50x = 780,228.50 × 323,703.54
  4. Step 4: Simplify right side
    565,398.50x = 252,562,727,458.89
  5. Step 5: Solve for x
    x = 252,562,727,458.89/565,398.50
  6. Step 6: Final answer
    x = 446,698.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.